λ
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Atlas › Integer Profiles › Node 26,315,910

26,315,910

2 × 32 × 5 × 23 × 12713
Abundant Even Composite

26,315,910 factors as 2 × 3^2 × 5 × 23 × 12713. Its 48 positive divisors give a proper-divisor sum of 45,085,914, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 23 × 12713
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 71,401,824
Proper Divisor Sum 45,085,914
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26315909 ← → #26315921

Radix Representation

Decimal 26315910
Binary 1100100011000110010000110 (25 bits)
Octal 0o144306206
Hexadecimal 0x1918C86

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1,035 2,070 12,713 25,426 38,139 63,565 76,278 114,417 127,130 190,695 228,834 292,399 381,390 572,085 584,798 877,197 1,144,170 1,461,995 1,754,394 2,631,591 2,923,990 4,385,985 5,263,182 8,771,970 13,157,955 26,315,910

Collatz Trajectory (92 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

26,315,910 13,157,955 39,473,866 19,736,933 59,210,800 29,605,400 14,802,700 7,401,350 3,700,675 11,102,026 5,551,013 16,653,040 8,326,520 4,163,260 2,081,630 1,040,815 3,122,446 1,561,223 4,683,670 2,341,835 7,025,506 3,512,753 10,538,260 5,269,130 2,634,565 7,903,696 3,951,848 1,975,924 987,962 493,981 1,481,944 740,972 370,486 185,243 555,730 277,865 833,596 416,798 208,399 625,198 312,599 937,798 468,899 1,406,698 703,349 2,110,048 1,055,024 527,512 263,756 131,878 65,939 197,818 98,909 296,728 148,364 74,182 37,091 111,274 55,637 166,912

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